Atkin-Lehner |
2- 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9982c |
Isogeny class |
Conductor |
9982 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
360492917875943552 = 27 · 78 · 232 · 314 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-409201,-96419423] |
[a1,a2,a3,a4,a6] |
Generators |
[1733:65442:1] |
Generators of the group modulo torsion |
j |
7577619190436070583137/360492917875943552 |
j-invariant |
L |
5.4423684037568 |
L(r)(E,1)/r! |
Ω |
0.1893190141935 |
Real period |
R |
2.0533626900836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79856e3 89838e3 69874j3 |
Quadratic twists by: -4 -3 -7 |